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amenable n.  and  equidigital n.

First numbers that belong to both sets:

1, 5, 13, 16, 17, 21, 25, 29, 32, 37, 41, 49, 53, 61, 64, 73, 81, 89, 97, 101, 105, 109, 112, 113, 121, 129, 133, 137, 141, 145, 149, 157, 160, 161, 169, 173, 177, 181, 185, 189, 192, 193, 197, 201, 205, 213, 217, 224, 229, 233, 237, 241, 245, 249, 257, 265, 269, 277, 281, 289, 293, 301, 305, 313, 317, 320, 329, 337, 349, 353, 361, 365, 373, 384, 389, 397, 401, 405, 409, 413, 421, 433, 445, 448, 449, 457, 461, 469, 485, 497, 509, 521, 529, 541, 553, 557, 569, 577, 581, 593, 601, 613, 617, 640, 641, 653, 661, 673, 677, 701, 709, 733, 757, 761, 768, 769, 773, 797, 809, 821, 829, 841, 853, 857, 877, 881, 896, 929, 937, 941, 953, 961, 977, 997, 1000, 1005, 1009, 1013, 1021, 1025, 1033, 1037, 1041, 1049, 1053, 1057, 1061, 1065, 1069, 1072, 1073, 1077, 1081, 1085, 1088, 1093, 1097, 1101, 1109, 1113, 1117, 1120, 1121, 1125, 1129, 1136, 1137, 1141, 1145, 1149, 1152, 1153, 1157, 1161, 1165, 1168, 1169, 1181, 1184, 1185, 1189, 1193, 1201, 1205, 1213, 1216, 1217, 1225, 1229, 1237, 1241, 1245, 1249, 1253, 1257, 1261, 1264, 1269, 1273, 1277, 1281, 1285, 1289, 1293, 1296, 1297, 1301, 1312, 1317, 1321, 1325, 1328, 1329, 1333, 1337, 1344, 1345, 1349, 1357, 1361, 1372, 1373, 1376, 1377, 1381, 1385, 1389, 1393, 1401, 1405, 1408, 1409, 1421, 1424, 1429, 1433, 1437, 1445, 1453, 1457, 1461, 1465, 1472, 1473, 1477, 1481, 1489, 1493, 1497, 1501, 1504, 1505, 1509, 1513, 1517, 1525, 1533, 1537, 1541, 1549, 1552, 1553, 1561, 1565, 1568, 1569, 1577, 1585, 1589, 1593, 1597, 1600, 1601, 1609, 1613, 1621, 1625, 1633, 1637, 1641.

Some larger examples :